On $d=4$ Yang-Mills instantons in a spherically symmetric background

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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6 pages, 3 figures; v2: references added

Scientific paper

10.1209/epl/i2006-10191-8

We present arguments for the existence of self-dual Yang-Mills instantons for several spherically symmetric backgrounds with Euclidean signature. The time-independent Yang-Mills field has finite action and a vanishing energy momentum tensor and does not disturb the geometry. We conjecture the existence of similar solutions for any nonextremal SO(3)-spherically symmetric background.

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